Display Abstract

Title Concatenated traveling waves

Name Stephen Schecter
Country USA
Email schecter@ncsu.edu
Co-Author(s) Xiao-Biao Lin
Submit Time 2014-02-05 14:29:46
Session
Special Session 64: Traveling waves and patterns
Contents
We consider concatenated traveling wave solutions of reaction-diffusion systems. These are solutions that look like a sequence of traveling waves with increasing velocity, with the right state of each wave equal to the left state of the next. I will present an approach to the stability theory of such solutions that does not rely on treating them as a sum of traveling waves. It is based instead on exponential dichotomies and Laplace transform.